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Finding the Fourth Proportional to 527,523.66, 727,982.82 and 285,807.90

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Solution

The fourth proportional to 527,523.66, 727,982.82 and 285,807.90 is: 394,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,523.66 : 727,982.82 = 285,807.90 : x
  2. Step 2: Convert to fraction form
    527,523.66/727,982.82 = 285,807.90/x
  3. Step 3: Cross multiply
    527,523.66x = 727,982.82 × 285,807.90
  4. Step 4: Simplify right side
    527,523.66x = 208,063,241,020.28
  5. Step 5: Solve for x
    x = 208,063,241,020.28/527,523.66
  6. Step 6: Final answer
    x = 394,414.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.